Physics Waves DUHS 2022
PMDC Verified Question 68 of 125
The most appropriate mathematical expression representing simple harmonic motion is:
A
\( a \propto x \)
B
\( a \propto -x \)
C
\( a = x \)
D
\( a = k x \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( a \propto -x \)
Concept:

Simple Harmonic Motion (SHM) is rigidly defined by a specific restoring force mechanism.

Solution:

  • For a system to execute SHM, its acceleration (\( a \)) must be directly proportional to its displacement (\( x \)) from the mean position.


  • Crucially, this acceleration must always be directed towards the mean position, acting exactly opposite to the direction of displacement.


  • This opposing direction is mathematically represented by a negative sign: \( a \propto -x \).


Why other options are incorrect:

Option A lacks the negative sign, which would imply an exponentially runaway motion rather than an oscillation. Options C and D lack both the negative sign and the proper proportionality constants (like \( \omega^2 \)).

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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